Angular momentum about inconvenient pivot point

AI Thread Summary
The discussion focuses on calculating the angular momentum of a rotating rod with respect to two different points: one located 1/4L from the rod's end and another stationary point. The angular momentum with respect to the center of mass is given by L = Iw, where I is the moment of inertia. Participants debate the applicability of the parallel axis theorem in this scenario, questioning how to calculate the moment of inertia for the specified points. It is concluded that the parallel axis theorem can indeed be applied for the calculations. Understanding these principles is essential for solving the problem accurately.
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A rod of length L and mass M is rotating with angular velocity w about its center of mass. What is its angular momentum with respect to a rotating point 1/4L from the rod's end? What about a stationary point?

Homework Equations


With the respect to the center of mass, angular momentum L = Iw = 1/12ML^2*w. (and L = r*Mv)

The Attempt at a Solution


Since the rod isn't actually rotating around the point (at least that's what I'm visualizing), does the parallel axis theorem still apply? How would calculation of moment of inertia work?
 
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It is actually rotating for given point I think and the parallel axis theorem can be applied for your calculation.
 
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